Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility between the expectation of physicists and the classical laws of thermodynamics has prompted the formulation of extended thermodynamics. After describing the motifs and early evolution of this new branch of irreversible thermodynamics, the authors apply the theory to mon-atomic gases, mixtures of gases, relativistic gases, and "gases" of phonons and photons. The discussion brings into perspective the various phenomena called second sound, such as heat propagation, propagation of shear stress and concentration, and the second sound in liquid helium. The formal mathematical structure of extended thermodynamics is exposed and the theory is shown to be fully compatible with the kinetic theory of gases. The study closes with the testing of extended thermodynamics through the exploitation of its predictions for measurements of light scattering and sound propagation.

Extended Thermodynamics (Springer Tracts in Natural Philosophy)

ingo-muller

Springer, Verlag

THIS IS OFFICIAL PROMO TEXT AND BCC. THE AUTHORS HAVE OK'D IT. Rational extended thermodynamics explores the tenets of non- equilibrium thermodynamics in an efficient and systematic manner; the theory is relevant to processes with rapid changes and steep gradients. After describing the motifs, the early evolution, and the formal structure of this new branch of irreversible thermodynamics, the authors apply the theory to mon-atomic gases, mixtures of gases, relativistic gases, and "gases" of photons, phonons and metal electrons. The disussion brings into perspective the various phenomena called second sound and provides new insight into the role of material frame indifference under Galilean and Euclidean transformations. This new editon has been thoroughly updated and the book as a whole was revised. Much new material has been added, in particular on reacting mixtures, light scattering, radiation thermodynamics and shock wave structure. Moreover, the proximity of the theory to the mathematical theory of hyperbolic systems and to the kinetic theory of gases is revealed. Thus researchers in mathematics and physics, as well as thermodynamicists, may find the book relevant to their work.

Rational extended thermodynamics (Springer Tracts in Natural Philosophy)

Science & Math

Mathematics

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History

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I.B.Tauris & Co Ltd

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